If n is an integer, n times •180degrees° represents an integer multiple of 180degrees° and (2nplus+ 1) times •90degrees° represents an odd integer multiple of 90degrees° , and so on. determine whether the expression is equal to 0, 1, minus- 1, or is undefined.

Question

Skunk

Mathematics

21 October, 10:45

If n is an integer, n times •180degrees° represents an integer multiple of 180degrees° and (2nplus+ 1) times •90degrees° represents an odd integer multiple of 90degrees° , and so on. determine whether the expression is equal to 0, 1, minus- 1, or is undefined.

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Jovanni Blevins · Answer 1

Solution: csc stands for cosecant

csc (2n+1) x 180˚

= Csc (360n + 180)

= csc (180) and the csc has a period of 360˚

= 1 / sin (180)

As sin 180 = 0 so,

csc ((2n+1) x 180 degrees) is undefined as 1/0 is undefined when you calculate it in the calculator.